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ABC is a triangle in which AB = 4 cm and BC = 7cm. What is the possible range of values of CA?
  • a)
    -3< CA < 3
  • b)
    -3< CA <11
  • c)
    3< CA<11
  • d)
    5<CA<12
  • e)
    5<CA<17
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
ABC is a triangle in which AB = 4 cm and BC = 7cm. What is the possibl...
Possible range of values of CA will be |AB - BC| < CA < |AB + BC|
So possible range of values of CA will be 3 < CA <11
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Most Upvoted Answer
ABC is a triangle in which AB = 4 cm and BC = 7cm. What is the possibl...
By the triangle inequality, CA must be greater than the absolute value of the difference between AB and BC, and less than their sum:

|AB - BC| < ca="" />< ab="" +="" />

|4 - 7| < ca="" />< 4="" +="" />

|-3| < ca="" />< />

Therefore, the possible range of values for CA is 3 < ca="" />< 11.="" />
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Community Answer
ABC is a triangle in which AB = 4 cm and BC = 7cm. What is the possibl...
The third side cannot be greater than the sum of other side. Also it cant be shorter than the difference between the other two sides. (property)
7+4 = 11. it cant be greater than 11.7-4 = 3. it cant be shorter than 3.
hence 3< /><11>
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